Optimum designs for estimating EDp based on raw optical density data |
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| Affiliation: | 1. Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan (M/C 249) Chicago IL 60607, USA;2. Clinical Statistics Department, G. D. Searle, USA;3. Department of Medicinal Chemistry and Pharmacognosy, University of Illinois at Chicago, Chicago IL 60607, USA;1. Biostatistics, Clinical Science, Astrazeneca R&D, S-43183 Mölndal, Sweden;2. Department of Mathematics, Statistics, and Computer Science, University of Illinois, 851 S. Morgan (M/C 249), Chicago, IL, 60607-7045, USA;1. Experimental Statistics Unit, Clemson University, Clemson, SC 29632, U.S.A.;2. Department of Plant Pathology and Physiology, Clemson University, Clemson, SC 29632, U.S.A.;3. U.S. Department of Agriculture, Agricultural Research Service, and Department of Plant Pathology and Weed Science, Mississippi State University, Mississippi State, MS 39762, U.S.A.;1. Program for Collaborative Research in the Pharmaceutical Sciences and Department of Medicinal Chemistry and Pharmacognosy, College of Pharmacy, University of Illinois at Chicago, IL 60612, USA;2. PharmChem, Inc., 2281 Golden Circle, Newport Beach, CA 92660, USA;3. Myanmar Medicinal Plants Conservation (MMPC) Group, Myanmar;1. Institute of Statistics, National Chiao Tung University, Hsinchu, Taiwan;2. Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405-5701, USA |
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| Abstract: | For raw optical density (ROD) data, such as those generated in biological assays employing an ELISA plate reader, EDp-optimal designs are identified for a family of homogeneous non-linear models with two parameters. In every case, the theoretical EDp-optimal design is a design with one or two support points. These theoretical optimal designs might not be suitable for many practical applications. To overcome this shortcoming, we have specified EDp-optimal designs within the class of k-point equally spaced and uniform designs. The efficiency robustness of these designs with respect to initial nominal values of the parameters have been investigated. |
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